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Real-life linear word problems-

A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, y, is a linear function of the number of x people. Write an equation in slope- intercept form for this function. What does the slope represent? How much would a party for 40 people cost?

Verified Answer :

cheetahdoglover1

y = 8x the slope is $8 per person. There is not a b (y intercept). 40 × 8 = 320 so $320 for a party with 40 people

adioabiola

Determine what the slope represent and the cost of a party for 40 people

The slope represent 8(cost per person) and y - intercept is 0

Equation of a straight line

y = mx + b

where,

m = slope of a line

b = y - intercept

y = total cost

x = number of people

Event 1:

Total cost = $120

Number of people = 15

y = mx + b

120 = m × 15 + 0

120 = 15m + 0

120 = 15m

m = 120/15

m = 8

Event 2:

Total cost = $120

Number of people = 15

  • Cost of a party for 40 people

y = mx + b

y = (8 × 40) + 0

y = 320 + 0

y = $320

Therefore, the cost of a party for 40 people is $320

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